11347046370528 has 576 divisors, whose sum is σ = 34046349442560. Its totient is φ = 3281361408000.

The previous prime is 11347046370481. The next prime is 11347046370533. The reversal of 11347046370528 is 82507364074311.

It is a super-2 number, since 2×11347046370528² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36485679493 + ... + 36485679803.

It is an arithmetic number, because the mean of its divisors is an integer number (59108245560).

Almost surely, 2^{11347046370528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11347046370528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17023174721280).

11347046370528 is an abundant number, since it is smaller than the sum of its proper divisors (22699303072032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11347046370528 is a wasteful number, since it uses less digits than its factorization.

11347046370528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 11347046370528 in words is "eleven trillion, three hundred forty-seven billion, forty-six million, three hundred seventy thousand, five hundred twenty-eight".